It's exactly what you called it, RPG styled battling. I like it, I was going to judge it by graphics alone, but I think it's charming. Don't get me wrong there are problems with it. I can't tell the characters apart, even just having them in different colors would have made a big difference, I didn't even know Caroline and Nicholette were magically inclined until a few battles were done.
I don't have any problems with the battle system in theory, it does what it's supposed to do. Click attack, click enemy, simple as. Having a brief description of each spell would have been nice though, the only indicator of some spells being better were the magic costs. But spells like Strong Barrier and Barrier were pretty self explanatory.
The shop is weird. I went through the initial battle quite a few times saving money for a quarter staff for each of the part members only to find out you only have to buy one for all of them. But that does make the cost scaling make feel fair.
Overall, I liked it!